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Finding the Fourth Proportional to 29,461.50, 44,200.35 and 8,685

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Solution

The fourth proportional to 29,461.50, 44,200.35 and 8,685 is: 13,029.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,461.50 : 44,200.35 = 8,685 : x
  2. Step 2: Convert to fraction form
    29,461.50/44,200.35 = 8,685/x
  3. Step 3: Cross multiply
    29,461.50x = 44,200.35 × 8,685
  4. Step 4: Simplify right side
    29,461.50x = 383,880,039.75
  5. Step 5: Solve for x
    x = 383,880,039.75/29,461.50
  6. Step 6: Final answer
    x = 13,029.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.